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Finding the Third Proportional to 90,894 and 150,958

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Solution

The third proportional to 90,894 and 150,958 is: 250,713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,894 : 150,958 = 150,958 : x
  2. Step 2: Convert to fraction form
    90,894/150,958 = 150,958/x
  3. Step 3: Cross multiply
    90,894x = 150,958 × 150,958
  4. Step 4: Simplify right side
    90,894x = 22,788,317,764
  5. Step 5: Solve for x
    x = 22,788,317,764/90,894
  6. Step 6: Final answer
    x = 250,713.11

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.